In a study conducted among 100 randomly selected people over the age of 50; It was seen that 40 people had both a house and a car, 60 people had a house and 70 people had a car. What is the probability that a chosen person will own a house or a car, or both?    a) 0.95  B) 0.80  NS) 0.90  D) 0.75  TO) 0.85

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In a study conducted among 100 randomly selected people over the age of 50; It was seen that 40 people had both a house and a car, 60 people had a house and 70 people had a car. What is the probability that a chosen person will own a house or a car, or both?

 
 a)

0.95

 B)

0.80

 NS)

0.90

 D)

0.75

 TO)

0.85

 

 
Expert Solution
Step 1

Obtain the probability that a chosen person will own a house or a car, or both.

The probability that a chosen person will own a house or a car, or both is obtained below as follows:

 

From the information, given that

 

Let A denotes the event that people had house. That is, N(A)=60.

Let B denote the event that people had car. That is, N(B)=70

Let (A and B) denote the event that people had both house and car. That is, N(A and B)=40

 

Let S denote the event of total outcomes. That is, N(S)=100

 

 

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